Consider the following frequency table representing the distribution of hours students spend on homework in a week. Determine the relative frequency for the third class as a simplified fraction. Class | Frequency: 10-15 | 3, 16-21 | 3, 22-27 | 9, 28-33 | 3, 34-39 | 9.

Answer

To find the relative frequency for the third class, follow these steps: 1. Identify the frequency of the third class (22-27). According to the table, the frequency is 9. 2. Find the total frequency of all classes by adding them together: 3 + 3 + 9 + 3 + 9 = 27. 3. Calculate the relative frequency by dividing the frequency of the third class by the total frequency: 9 / 27. 4. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 9. 9 ÷ 9 = 1 and 27 ÷ 9 = 3. Therefore, the relative frequency for the third class as a simplified fraction is 1/3.